Question

the frequency polygon to the right shows a distribution of iq scores. determine if the following statement is true or false according to the graph. the graph is based on a sample of approximately 50 people. choose the correct answer below. a. the statement is false because the sum of the frequencies is greater than 50 b. the statement is true because there are 50 possible iq scores. c. the statement is false because there are less than 50 possible iq scores d. the statement is true because the sum of the frequencies is 50.

Explanation:

Step1: Understand the concept of frequency polygon

A frequency polygon represents the frequency (number of people in this case) of different data values (IQ scores here). The total number of data points (sample size) is the sum of all frequencies.

Step2: Estimate the sum of frequencies

Looking at the frequency polygon:

• For IQ score \(70\): frequency is approximately \(1\)
• For IQ score \(80\): frequency is approximately \(5\)
• For IQ score \(90\): frequency is approximately \(20\)
• For IQ score \(100\): frequency is approximately \(25\)
• For IQ score \(110\): frequency is approximately \(23\)
• For IQ score \(120\): frequency is approximately \(10\)
• For IQ score \(130\): frequency is approximately \(1\)

Sum of frequencies \(=1 + 5+20 + 25+23+10+1=85\) (approximate values from the graph). Since \(85>50\)

Answer:

A. The statement is false because the sum of the frequencies is greater than 50